Unified macro-to-microscale method to predict two-phase frictional pressure drops of annular flows

The study considers the prediction of pressure gradients in adiabatic gas-liquid annular two-phase flow in the macro-to-microscale range Twenty-four empirical correlations have been tested against an experimental data bank drawn together in this study containing 3908 points for eight different gas-liquid combinations and 22 different tube diameters, covering microscale and macroscale channels from 0.517 to 31.7 mm in diameter. The correlations of Lombardi, Friedel and Baroczy-Chisholm were found to be the best existing methods when considering macroscale data only, while the microscale database was best predicted by the correlations of Lombardi, Muller-Steinhagen and Heck and the homogeneous model with the two-phase viscosity defined according to Cicchitti. A new correlating approach based on the vapor core Weber number, capable of providing physical insight into the flow. was proposed and worked better than any of the existing methods for the macroscale database This new macroscale method was then extended to cover microscale conditions, resulting in one unified method for predicting annular flows from the macroscale to the microscale covering both laminar and turbulent liquid films. The macroscale method optimized for microchannels worked better than any of the other methods considered (C) 2009 Elsevier Ltd. All rights reserved.

[1]  John R. Thome,et al.  Adiabatic Two-Phase Frictional Pressure Drops in Microchannels , 2007 .

[2]  Yuri S. Muzychka,et al.  Effective property models for homogeneous two-phase flows , 2008 .

[3]  A. Dukler,et al.  Frictional pressure drop in two‐phase flow: A. A comparison of existing correlations for pressure loss and holdup , 1964 .

[4]  M. W. Wambsganss,et al.  Two-phase pressure drop of refrigerants during flow boiling in small channels : an experimental investigation and correlation development. , 1999 .

[5]  R.V.A. Oliemans,et al.  Modelling of annular dispersed two-phase flow in vertical pipes , 1986 .

[6]  C. J. Baroczy SYSTEMATIC CORRELATION FOR TWO-PHASE PRESSURE DROP. , 1966 .

[7]  D. Chisholm,et al.  Pressure gradients due to friction during the flow of evaporating two-phase mixtures in smooth tubes and channels , 1973 .

[8]  Daniel D. Joseph,et al.  Power law and composite power law friction factor correlations for laminar and turbulent gas–liquid flow in horizontal pipelines , 2003 .

[9]  G. H. Anderson,et al.  Two-phase (gas—liquid) flow phenomena—I Pressure drop and hold-up for two-phase flow in vertical tubes , 1960 .

[10]  Rémi Revellin,et al.  Experimental two-phase fluid flow in microchannels , 2005 .

[11]  G. Hewitt,et al.  Sampling probe studies of the gas core in annular two-phase flow—II: Studies of the effect of phase flow rates on phase and velocity distribution , 1964 .

[12]  J. Thome,et al.  Algebraic turbulence modeling in adiabatic gas–liquid annular two-phase flow , 2009 .

[13]  P. Kew,et al.  Correlations for the prediction of boiling heat transfer in small-diameter channels , 1997 .

[14]  K. Stephan,et al.  Heat-transfer correlations for natural convection boiling , 1980 .

[15]  R. Lockhart Proposed Correlation of Data for Isothermal Two-Phase, Two-Component Flow in Pipes , 1949 .

[16]  G. Hewitt,et al.  Studies of Two-Phase Flow Patterns by Simultaneous X-Ray and Flash Photography , 1969 .

[17]  A. Ghajar,et al.  Comparison of void fraction correlations for different flow patterns in horizontal and upward inclined pipes , 2007 .

[18]  G. Hewitt,et al.  Data on the upwards annular flow of air-water mixtures , 1965 .

[19]  T. Hibiki,et al.  Some characteristics of air-water two-phase flow in small diameter vertical tubes , 1996 .

[20]  Satish G. Kandlikar,et al.  Fundamental issues related to flow boiling in minichannels and microchannels , 2002 .

[21]  L. Friedel Improved Friction Pressure Drop Correlation for Horizontal and Vertical Two-Phase Pipe Flow , 1979 .

[22]  L. Consolini,et al.  Convective boiling heat transfer in a single micro-channel , 2008 .

[23]  R. M. Nedderman,et al.  Pressure gradient and liquid film thickness in co-current upwards flow of gas/liquid mixtures: Application to film-cooler design , 1965 .

[24]  S. Jayanti,et al.  Flow development in vertical annular flow , 2001 .

[25]  Kaichiro Mishima,et al.  Evaluation Analysis of Prediction Methods for Two-Phase Flow Pressure Drop in Mini-Channels , 2008 .

[26]  Neil E. Todreas,et al.  An assessment of two-phase pressure drop correlations for steam-water systems , 1977 .

[27]  John R. Thome,et al.  An analysis of experimental data and prediction methods for two-phase frictional pressure drop and flow boiling heat transfer in micro-scale channels , 2006 .

[28]  B. Shannak,et al.  Frictional pressure drop of gas liquid two-phase flow in pipes , 2008 .

[29]  H. Müller-Steinhagen,et al.  A simple friction pressure drop correlation for two-phase flow in pipes , 1986 .

[30]  J. Thom,et al.  Prediction of pressure drop during forced circulation boiling of water , 1964 .

[31]  K. Stephan Heat Transfer in Condensation and Boiling , 1992 .

[32]  P. Whalley,et al.  A Simple Two-Phase Frictional Pressure Drop Calculation Method , 1982 .